Effective Lagrangian for quantum black holes |
| |
Affiliation: | 1. Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, Pisa 56127, Italy;2. Departament de Matemàtiques i Informàtica, Barcelona Graduate School of Mathematics (BGSMath), Universitat de Barcelona (UB), Gran Via de les Corts Catalanes 585, Barcelona 08007, Spain |
| |
Abstract: | We discuss the most general effective Lagrangian obtained from the assumption that the degrees of freedom to be quantized, in a black hole, are on the horizon. The effective Lagrangian depends only on the induced metric and the extrinsic curvature of the (fluctuating) horizon, and the possible operators can be arranged in an expansion in powers of MP1/M, where MP1 is the Planck mass and M the black hole mass. We perform a semiclassical expansion of the action with a formalism which preserves general covariance explicitly. Quantum fluctuations over the classical solutions are described by a single scalar field living in the (2 + 1)-dimensional world-volume swept by the horizon, with a given coupling to the background geometry. We discuss the resulting field theory and we compute the black hole entropy with our formalism. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|